GCD of 824, 514, 896, 960 Calculator

Given Input numbers are 824, 514, 896, 960

In the factoring method, we have to find the divisors of all numbers

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (824, 514, 896, 960) = 2.

Given numbers are 824, 514, 896, 960

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 514 are 2 x 257

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 824, 514, 896, 960 is 2.

Given numbers are 824, 514, 896, 960

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(824, 514) = 211768

GCD(824, 514) = ( 824 x 514 ) / 211768

= 824 / 514

= 824

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 824, 514, 896, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 607, 654, 870
• GCD of 120, 636, 784, 229
• GCD of 129, 622, 952, 836
• GCD of 548, 248, 113, 827
• GCD of 292, 737, 667, 466

Given numbers are 824, 514, 896, 960
The greatest common divisor of numbers 824, 514, 896, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 514, 896, 960 is 2.

1. What is the GCD of 824, 514, 896, 960?

GCD of given numbers 824, 514, 896, 960 is 2

2. How to calculate the greatest common divisor of 824, 514, 896, 960?

We can find the highest common divisor of 824, 514, 896, 960 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 824, 514, 896, 960 i.e 2.

3. How can I use the GCD of 824, 514, 896, 960Calculator?

Out the numbers 824, 514, 896, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.